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Finding the Third Proportional to 76,993.50 and 119,165.75

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Solution

The third proportional to 76,993.50 and 119,165.75 is: 184,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.50 : 119,165.75 = 119,165.75 : x
  2. Step 2: Convert to fraction form
    76,993.50/119,165.75 = 119,165.75/x
  3. Step 3: Cross multiply
    76,993.50x = 119,165.75 × 119,165.75
  4. Step 4: Simplify right side
    76,993.50x = 14,200,475,973.06
  5. Step 5: Solve for x
    x = 14,200,475,973.06/76,993.50
  6. Step 6: Final answer
    x = 184,437.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.